2007/08/31 by D. A. Matoz-Fernandez, D. H. Linares, A. J. Ramírez-Pastor +1 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical phenomena #Geometry #Ising model #Isotropy #Liquid Crystal Research Advancements #Liquid crystal #Material Dynamics and Properties #Mathematical physics #Mathematics #Monte Carlo method #Phase transition #Physics #Quantum mechanics #Renormalization group #Scaling #Square lattice #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/82/50007
7 pages, 8 figures, uses epl2.cls, to appear in Europhysics Letters
arxiv created 2008/04/21 · openalex publication_date 2008/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior and universality for the isotropic-nematic phase transition in a system of long straight rigid rods of length k ( k -mers) on two-dimensional lattices. The nematic phase, characterized by a big domain of parallel k -mers, is separated from the isotropic state by a continuous transition occurring at a finite density. The determination of the critical exponents, along with the behavior of Binder cumulants, indicate that the transition belongs to the 2D Ising universality class for square lattices and to the three-state Potts universality class for triangular lattices.